The resolution of the bounded L2 curvature conjecture in general relativity

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013

November 19, 2013 (02:00 PM PST - 03:00 PM PST)

Speaker(s): Jeremie Szeftel (Sorbonne Université)
Location: SLMath: Eisenbud Auditorium

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

v1201

Abstract

In order to control locally a space-time which satisfies the Einstein equations, what are the minimal assumptions one should make on its curvature tensor? The bounded L2 curvature conjecture roughly asserts that one should only need L2 bound on the curvature tensor on a given space-like hypersuface. This conjecture has its roots in the remarkable developments of the last twenty years centered around the issue of optimal well-posedness for nonlinear wave equations. In this context, a corresponding conjecture for nonlinear wave equations cannot hold, unless the nonlinearity has a very special nonlinear structure. I will present the proof of this conjecture, which sheds light on the specific null structure of the Einstein equations. This is joint work with S. Klainerman and I. Rodnianski

Supplements

	Szeftel 421 KB application/pdf	Download

Video/Audio Files

v1201

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